Journal
PHYSICS LETTERS B
Volume 790, Issue -, Pages 533-536Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physletb.2019.02.005
Keywords
General relativity; Conservation laws
Funding
- U.S. Department of Energy, Office of Science, Office of High Energy Physics [DE-SC0011632]
- Newton International Fellowship [NF170385]
- UK Royal Society
Ask authors/readers for more resources
Noether's theorem, that local gauge variations of gauge invariant actions are identically conserved (more tautologically, that gauge variations of gauge invariants vanish) was established a century ago. Its converse, in the geometric context: are all identically conserved local symmetric tensors variations of some coordinate invariant action? remains unsolved to this day. We survey its present state and discuss some of our concrete attempts at a solution, including a significant improvement. For notational simplicity, details are primarily given in D = 2, but we discuss generic D as well. (C) 2019 The Author(s). Published by Elsevier B.V.
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